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32989940 = 22537109409
BaseRepresentation
bin111110111011…
…0001011110100
32022002001200122
41331312023310
531421134230
63135031112
7550260404
oct175661364
968061618
1032989940
1117692915
12b06b498
136ab0b99
14454a804
152d69be5
hex1f762f4

32989940 has 48 divisors (see below), whose sum is σ = 71979600. Its totient is φ = 12690432.

The previous prime is 32989841. The next prime is 32989949. The reversal of 32989940 is 4998923.

It can be written as a sum of positive squares in 8 ways, for example, as 7628644 + 25361296 = 2762^2 + 5036^2 .

It is a super-2 number, since 2×329899402 = 2176672282407200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32989891 and 32989900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32989949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80456 + ... + 80864.

It is an arithmetic number, because the mean of its divisors is an integer number (1499575).

Almost surely, 232989940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32989940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35989800).

32989940 is an abundant number, since it is smaller than the sum of its proper divisors (38989660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32989940 is a wasteful number, since it uses less digits than its factorization.

With its successor (32989941) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (562).

With its successor (32989941) it forms an eRAP, since the sums of their prime factors are consecutive (564 and 565).

32989940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 32989940 is about 5743.6869691863. The cubic root of 32989940 is about 320.7208359543.

The spelling of 32989940 in words is "thirty-two million, nine hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 409 436 545 740 818 1090 1636 2045 2180 4033 4090 8066 8180 15133 16132 20165 30266 40330 44581 60532 75665 80660 89162 151330 178324 222905 302660 445810 891620 1649497 3298994 6597988 8247485 16494970 32989940